Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras

Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras

The present paper is devoted to estimating the codimensions c n for the variety of associative algebras given by the identity [ x 1 , …, x l ] = 0 for odd l . The characteristic of the ground field is different from 2 and 3. The construction of the so-called extended Grassmann algebra is applied ver...

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Veröffentlicht in:Mathematical Notes 2020-05, Vol.107 (5-6), p.933-938
1. Verfasser: Grishin, A. V.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Asymptotic properties
Mathematics
Mathematics and Statistics
Vector spaces
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Zusammenfassung:The present paper is devoted to estimating the codimensions c n for the variety of associative algebras given by the identity [ x 1 , …, x l ] = 0 for odd l . The characteristic of the ground field is different from 2 and 3. The construction of the so-called extended Grassmann algebra is applied very effectively.
ISSN:0001-4346
1067-9073
1573-8876
DOI:10.1134/S0001434620050235